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Books on the topic 'Infinite quantum systems'

Author: Grafiati

Published: 4 June 2021

Last updated: 9 February 2022

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1

Benatti, Fabio. Deterministic Chaos in Infinite Quantum Systems. Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-642-84999-2.

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Naaijkens, Pieter. Quantum Spin Systems on Infinite Lattices. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-51458-1.

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Deterministic chaos in infinite quantum systems. Springer-Verlag, 1993.

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4

Kulish, Petr P., Nenad Manojlovich, and Henning Samtleben, eds. Infinite Dimensional Algebras and Quantum Integrable Systems. Birkhäuser-Verlag, 2005. http://dx.doi.org/10.1007/b137651.

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5

1944-, Kulish P. P., Manojlovic Nenad 1962-, and Samtleben Henning, eds. Infinite dimensional algebras and quantum integrable systems. Birkhäuser Verlag, 2005.

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6

Elements of quantum mechanics of infinite systems: Lecture notes. World Scientific, 1985.

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7

Živković, Tomislav P. Exact treatment of finite-dimensional and infinite-dimensional quantum systems. Nova Science Publishers, 2009.

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8

RIMS Conference "Infinite Analysis 2010, Developments in Quantum Integrable Systems" (2010 Kyoto, Japan). Infinite analysis 2010: Developments in quantum integrable systems : June 14-16, 2010. Research Institute for Mathematical Sciences, Kyoto University, 2011.

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9

Infinite Analysis 09 (2009 Kyoto, Japan). New trends in quantum integrable systems: Proceedings of the Infinite Analysis 09 : Kyoto, Japan 27-31 July 2009. Edited by Feigin Boris L, Jimbo M. (Michio), and Okado Masato. World Scientific Pub Co Inc, 2011.

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10

Dzhamay, Anton, Ken'ichi Maruno, and Christopher M. Ormerod. Algebraic and analytic aspects of integrable systems and painleve equations: AMS special session on algebraic and analytic aspects of integrable systems and painleve equations : January 18, 2014, Baltimore, MD. American Mathematical Society, 2015.

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11

1975-, Sims Robert, and Ueltschi Daniel 1969-, eds. Entropy and the quantum II: Arizona School of Analysis with Applications, March 15-19, 2010, University of Arizona. American Mathematical Society, 2011.

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12

Argentina) Luis Santaló Winter School-CIMPA Research School Topics in Noncommutative Geometry (3rd 2010 Buenos Aires. Topics in noncommutative geometry: Third Luis Santaló Winter School-CIMPA Research School Topics in Noncommutative Geometry, Universidad de Buenos Aires, Buenos Aires, Argentina, July 26-August 6, 2010. Edited by Cortiñas, Guillermo, editor of compilation. American Mathematical Society, 2012.

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13

Lie algebras, lie superalgebras, vertex algebras, and related topics: Southeastern Lie Theory Workshop Series 2012-2014 : Categorification of Quantum Groups and Representation Theory, April 21-22, 2012, North Carolina State University : Lie Algebras, Vertex Algebras, Integrable Systems and Applications, December 16-18, 2012, College of Charleston : Noncommutative Algebraic Geometry and Representation Theory, May 10-12, 2013, Louisiana State Vniversity : Representation Theory of Lie Algebras and Lie Superalgebras, May 16-17, 2014, University of Georgia. American Mathematical Society, 2016.

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14

Deterministic Chaos in Infinite Quantum Systems. Springer, 2011.

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15

Petr P. Kulish,Nenad Manojlovic,Henning Samtleben. Infinite Dimensional Algebras and Quantum Integrable Systems. Springer, 2008.

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16

Kulish, P. P. Infinite Dimensional Algebras and Quantum Integrable Systems. Birkhauser, 2005.

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17

Strocchi, F. Elements of Quantum Mechanics of Infinite Systems. WORLD SCIENTIFIC, 1985. http://dx.doi.org/10.1142/0179.

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18

Naaijkens, Pieter. Quantum Spin Systems on Infinite Lattices: A Concise Introduction. Springer, 2017.

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19

Zabrodin, Anton. Quantum spin chains and classical integrable systems. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198797319.003.0013.

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This chapter is a review of the recently established quantum-classical correspondence for integrable systems based on the construction of the master T-operator. For integrable inhomogeneous quantum spin chains with gl(N)-invariant R-matrices in finite-dimensional representations, the master T-operator is a sort of generating function for the family of commuting quantum transfer matrices depending on an infinite number of parameters. Any eigenvalue of the master T-operator is the tau-function of the classical modified KP hierarchy. It is a polynomial in the spectral parameter which is identifie

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20

Zinn-Justin, Jean. Quantum Field Theory and Critical Phenomena. 5th ed. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198834625.001.0001.

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Introduced as a quantum extension of Maxwell's classical theory, quantum electrodynamic (QED) has been the first example of a quantum field theory (QFT). Eventually, QFT has become the framework for the discussion of all fundamental interactions at the microscopic scale except, possibly, gravity. More surprisingly, it has also provided a framework for the understanding of second order phase transitions in statistical mechanics. In fact, as hopefully this work illustrates, QFT is the natural framework for the discussion of most systems involving an infinite number of degrees of freedom with loc

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21

Baulieu, Laurent, John Iliopoulos, and Roland Sénéor. Towards a Relativistic Quantum Mechanics. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198788393.003.0007.

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Towards a relativistic quantum mechanics. Klein–Gordon and the problems of the probability current and the negative energy solutions. The Dirac equation and negative energies. P, C, and T symmetries. Positrons. The Schrödinger equation as the non-relativistic limit of relativistic equations. Majorana and Weyl equations. Relativistic corrections in hydrogen-like atoms. The Dirac equation as a quantum system with an infinite number of degrees of freedom.

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22

Bueno, Otávio, and Steven French. Unifying with Mathematics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198815044.003.0006.

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In this chapter, we examine a different case study, where the aim was to unify apparently unrelated domains, such as quantum states, probability assignments, and logical inference. This is John von Neumann’s development of an alternative framework to the Hilbert space formalism he pioneered: one articulated in terms of his theory of operators and what we now call von Neumann algebras. This allowed him to accommodate probabilities in the context of systems with infinite degrees of freedom. Here we find, in addition to ‘top-down’ moves from the mathematics to the physics, ‘bottom-up’ development

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23

Algebraic And Geometric Aspects Of Integrable Systems And Random Matrices Ams Special Session Algebraic And Geometric Aspects Of Integrable Systems And Random Matrices January 67 2012 Boston Ma. American Mathematical Society, 2013.

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